Minimal volume k-point lattice d-simplices

2008/04/17 by Duong, Han
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.2910

Abstract

We extend the results of Bey, Hen, and Wills (http://arxiv.org/abs/math/0606089). In this paper, we show that, up to equivalence under unimodular transformations, there is exactly one class of d-simplices having k ≥ 1 interior lattice points and minimal volume (1)/(d!)(dk+1).

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